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arXiv · 2007.14582

Uniqueness of conservative solutions to a one-dimensional general quasilinear wave equation through variational principle

Hong Cai·Geng Chen·Yi Du·Yannan Shen
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Abstract

In this paper, we prove the uniqueness of energy conservative Holder continuous weak solution to a general quasilinear wave equation by the analysis of characteristics. This result has no restriction on the size of solutions, i.e. it is a large data result.

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Hong Cai, Geng Chen, Yi Du, Yannan Shen. 2020-07-29. Uniqueness of conservative solutions to a one-dimensional general quasilinear wave equation through variational principle. https://doi.org/10.1063/5.0079917

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